A special structure of the scattering operator and infrared divergences in quantum electrodynamics

2016/06/18 by Lev Sakhnovich, Sakhnovich, Lev
Computer Science · Physics and Astronomy · #34L25 #81Q05 #81Q30 #81T15 #81T18 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum optics and atomic interactions #Spectral Theory (math.SP)

paper · pdf · doi:10.48550/arxiv.1606.06759

openalex publication_date 2016/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We assume that the unperturbed operators A₀ are known. Then, the fact that the scattering operators S and the unperturbed operators A₀ are pairwise permutable provides some important information about the structure of the scattering operators. Using this information and the ideas from the theory of generalized wave operators, we present a new approach to the divergence problems in quantum electrodynamics. We show that the so called infrared divergences appeared because the deviations of the initial and final waves from the free waves were not taken into account.

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